Sedov, Egor, Chekhovskoy, Igor, Fedoruk, Mikhail and Turitsyn, Sergei K. (2025). Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications. Studies in Applied Mathematics, 154 (1),
Abstract
We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time-domain signal processing techniques. Our main focus is on the challenges and recent progress in the development of efficient numerical algorithms and approaches to NFT implementation.
| Publication DOI: | https://doi.org/10.1111/sapm.12795 |
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| Divisions: | College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT) College of Engineering & Physical Sciences Aston University (General) |
| Funding Information: | This work was supported by the Russian Science Foundation (project no. 20-11-20040) and Engineering and Physical Sciences Research Council(EPSRC) project TRANSNET. |
| Additional Information: | Copyright © 2024 The Author(s). Studies in Applied Mathematics published by Wiley Periodicals LLC. This is an open access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Uncontrolled Keywords: | inverse scattering transform,nonlinear Fourier transform,nonlinear Schrödinger equation,optical communication,Applied Mathematics |
| Publication ISSN: | 1467-9590 |
| Data Access Statement: | The data that support the findings of this study are available from the corresponding author upon reasonable request. |
| Last Modified: | 21 Apr 2025 08:00 |
| Date Deposited: | 09 Dec 2024 11:12 |
| Full Text Link: | |
| Related URLs: |
https://onlinel ... 1111/sapm.12795
(Publisher URL) http://www.scop ... tnerID=8YFLogxK (Scopus URL) |
PURE Output Type: | Article |
| Published Date: | 2025-01 |
| Published Online Date: | 2024-12-06 |
| Accepted Date: | 2024-11-13 |
| Authors: |
Sedov, Egor
Chekhovskoy, Igor Fedoruk, Mikhail Turitsyn, Sergei K. ( 
0000-0003-0101-3834)
|